Final answer:
To find (f+g)(x), add the functions f(x) and g(x) together. The resulting expression is (f+g)(x) = |3x+4|+6.
Step-by-step explanation:
To find (f+g)(x), we need to add the functions f(x) and g(x) together. First, let's find g(x) which is equal to 4. Now, let's substitute the values of f(x) and g(x) into (f+g)(x) expression:
(f+g)(x) = f(x) + g(x) = |3x+4|+2 + 4
Simplifying the expression, we get (f+g)(x) = |3x+4|+6.